Paving Company Ltd

Roadster's Paving Company used 6 6/8 tons of cement to pave Hunter's street and 9 5/8 tons of cement to pave Jayden's street. How much cement did Roadster's Paving Company use in all?

Correct answer:

m =  16 ³⁄₈ = 131/8 t

Step-by-step explanation:

$$\begin{gathered} a=6\frac{6}{8}=6+\frac{6}{8}=\frac{6\cdot 8+6}{8}=\frac{48+6}{8}=\frac{54}{8}=\frac{27}{4}=6.75\text{t} \\ b=9\frac{5}{8}=9+\frac{5}{8}=\frac{9\cdot 8+5}{8}=\frac{72+5}{8}=\frac{77}{8}=9.625\text{t} \\ m=a+b=\frac{27}{4}+\frac{77}{8}=\frac{54}{8}+\frac{77}{8}=\frac{54+77}{8}=\frac{131}{8}=\frac{131}{8}\text{t}=16\frac{3}{8}\text{t}=16.375\text{t} \end{gathered}$$

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